An optimal procedure for testing hypotheses on cadlag processes

References

• Irle , A. 1984 . Extended optimality of sequential probability ratio tests . Annals of Statistics , 12 ( 1 ) : 380 – 386 .
   Web of Science ®Google Scholar
• Irle , A. 1990 . Asymptotic optimality of general sequential probability ratio tests . Scandinavian Journal of Statistics , 17 ( 1 ) : 321 – 332 .
   Google Scholar
• Irle , A. and Schmitz , N. 1984 . On the optimality of the SPRT for processes with continuous time parameter . Mathematische Operations for schung und Statjstik, Series Statistics , 15 ( 1 ) : 91 – 104 .
   Google Scholar
• Jacod , J. 197 . “ Calcul stochastique et problémes de martingales ” . In Lecture Notes in Mathematics , Vol. 714 , Springer Verlag .
   Google Scholar
• Jacod , J. and Shiryaev , A.N. 1987 . “ Limit theorems for stochastic processes ” . Springer Verlag .
   Google Scholar
• Kabanov Yu , M. , Liptser , R.Sh and Shiryaev , A.N. 1977 . On the question of a absolute continuity and singularity of probability measures . Mat.USSR Sbornik , 33 ( 2 ) : 203 – 221 .
   Google Scholar
• Kabanov Yu. , M. , Liptser , R.Sh. and Shiryaev , A.N. 1979 . Absolute continuity and singularity of locally absolutely continuous probability distributions (I) . Mat.USSR Sbornik , 35 ( 2 ) : 631 – 679 .
   Google Scholar
• Kabanov Yu , M. , Liptser , R.Sh. and Shiryaev , A.N. 1980 . Absolute continuity and singularity of locally absolutely continuous probability distributions (II) . Mat. USSR Sbornik , 36 ( 2 ) : 31 – 58 .
   Google Scholar
• Meyer , P.A. 1976 . “ Un cours sur les intégrales stochastiques, Séminaire Proba. XI ” . In Lecture Notes in Mathematics , Vol. 511 , 245 – 400 . Springer Verlag .
   Google Scholar
• Miroshnichenko , T.P. 1979 . Testing of two simple hypotheses in the presence of delayed observations . Theory of Probability and its Applications , 24 ( 3 ) : 467 – 479 .
   Web of Science ®Google Scholar
• Wald , A. 1974 . “ Sequential analysis ” . Wiley .
   Google Scholar
• Yashin , A.I. 1983 . On a problem of sequential hypothesis testing . Theory of Probability and its Applications , 28 ( 1 ) : 157 – 165 .
   Web of Science ®Google Scholar